Periodic Solutions to a Third-Order Conditional Difference Equation over the Integers-Reference-Cited by-同舟云学术

Periodic Solutions to a Third-Order Conditional Difference Equation over the Integers

Published:2011 Issue: Volume:2011 Page:1-12
ISSN:1026-0226
Container-title:Discrete Dynamics in Nature and Society
language:en
Short-container-title:Discrete Dynamics in Nature and Society

Author:

He Li¹,Liu Wanping²^ORCID

Affiliation:

1. College of Computer Science, Chongqing University of Posts and Telecommunications, Chongqing 400065, China

2. College of Computer Science, Chongqing University, Chongqing 400044, China

Abstract

This paper studies a third-order conditional difference equation which is a generalization from the literature. We investigate this equation by transforming it into a first-order system. Finally it is proved that the equation has no period-two (or three) integer solutions. Besides, its all period-four (and five) integer solutions are derived under appropriate rational parameters.

Publisher

Hindawi Limited

Subject

Modelling and Simulation

Link

http://downloads.hindawi.com/journals/ddns/2011/827235.pdf

Reference27 articles.

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2. On Some Difference Equations with Eventually Periodic Solutions

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5. Periodic solutions to some difference equations over the integers

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